In the following thesis, non-linear wave propagation theory is used to implement a numerical integration simulation that predicts the propagation of an ultrasonic wave through a medium. More specific to the field of non-destructive evaluation, the simulation enables the prediction of a wave path for an ultrasonic wave that is travelling through a stressed material.
A shrink fit was chosen as the stress state scenario for implementation in the simulation. Through the use of several Matlab procedures, results are obtained for wave propagation in the radial-axial plane using material properties relating to a silicon crystal. These results are considered, and to an extent validated using previous work, however the simulations are shown to contain some errors. These errors are discussed and possible explanations are presented.
Using this wave path prediction, further Matlab procedures are developed that produce an ‘arrival time map’ for waves reaching a receiving wall of the shrink fit for a wave source at a set location. Due to this ‘map’ varying for different magnitudes of the induced stress state, this technique is presented as a possible form of non-destructive stress state evaluation.
Previous work on stress state evaluation in a shrink fit is also presented, as is a suggestion of future work that may be undertaken specific to the development of this form of simulation in the field of non-destructive evaluation.